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Finding the Fourth Proportional to 4,130.50, 5,700.46 and 2,267.86

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Solution

The fourth proportional to 4,130.50, 5,700.46 and 2,267.86 is: 3,129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130.50 : 5,700.46 = 2,267.86 : x
  2. Step 2: Convert to fraction form
    4,130.50/5,700.46 = 2,267.86/x
  3. Step 3: Cross multiply
    4,130.50x = 5,700.46 × 2,267.86
  4. Step 4: Simplify right side
    4,130.50x = 12,927,845.22
  5. Step 5: Solve for x
    x = 12,927,845.22/4,130.50
  6. Step 6: Final answer
    x = 3,129.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.